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p-Adic multi-zeta values

✍ Scribed by Sinan Ünver

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
482 KB
Volume
108
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let X be the projective line minus 0; 1; and N over Q p : The aim of the following is to give a series representations of the p-adic multi-zeta values in the depth two quotient. The approach is to use the lifting FðzÞ ¼ z p of the frobenius which is not a good choice near 1, but which gives simple formulas away from 1, and to relate the action of frobenius on the de Rham path from 0 to N and on the one from 0 to 1. Also some relations between the p-adic multi-zeta values of depth two are obtained.

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